Question

Factor 5v^2 - 23v - 10​

Answer 1

`(5v + 2)(v - 5)`

Explanation:

Hello!

The expression is written in the form of
`ax^2 + bx + c`

Let's factor by grouping:

`ac = -50`

The sum of the factors of -50 should add up to -23.

-25 and 2 work for this.

Expand and factor:

• 
  `5v^2 - 23v - 10`
• 
  `5v^2 - 25v + 2v - 10`
• 
  `5v(v - 5) +2(v -5 )`
• 
  `(5v + 2)(v - 5)`

The factored expression is
`(5v + 2)(v - 5)`